To solve the inequality [tex]\( x - 8 > -3 \)[/tex], let's go through the steps:
1. Start with the given inequality:
[tex]\[
x - 8 > -3
\][/tex]
2. Add 8 to both sides of the inequality to isolate the variable [tex]\( x \)[/tex] on the left-hand side:
[tex]\[
x - 8 + 8 > -3 + 8
\][/tex]
3. Simplify both sides:
[tex]\[
x > 5
\][/tex]
So, the solution to the inequality [tex]\( x - 8 > -3 \)[/tex] is:
[tex]\[
x > 5
\][/tex]
Therefore, the correct answer is:
C. [tex]\( x > 5 \)[/tex]
